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I. x217x84=0{x^2} - 17x - 84 = 0

II. y2+4y117=0{y^2} + 4y - 117 = 0

a

If x > y

b

If x ≥ y

c

If y > x

d

If y ≥ x

e

If x = y or no relation can be established

Answer : Option E
Explanation :

x217x84=0{x^2} - 17x - 84 = 0

x2+4x21x84=0{x^2} + 4x - 21x - 84 = 0

(x+4)(x21)=0left( {x + 4} ight)left( {x - 21} ight) = 0

x=4,21x = - 4,21

y2+4y117=0{y^2} + 4y - 117 = 0

y29y+13y117=0{y^2} - 9y + 13y - 117 = 0

(y9)(y+13)=0left( {y - 9} ight)left( {y + 13} ight) = 0

y=9,13y = 9, - 13

no relation can be established

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